Here be parse.
1 - PEACH (charade)
Beauty product originally for every person (5)
Beauty - definition
product originally - first letter indicator for P
for every person - EACH
(P)(EACH)
4a - APOINTEE (surround)
Official copy about matter and energy (9)
Official - definition
copy - APE
about - surround indicator
matter - POINT
and - surround inclusion link
energy - E
(A(POINT+E)E)
9a - INTESTATE (subtraction)
Late man without will runs off highway (9)
late man without will - definition
runs off - R subtraction indicator
highway - INTERSTATE
(INTE(-r)STATE)
10a - LUNCH (subtraction)
Start to have no use for a break (5)
start - LAUNCH
to have no use for a - A subtraction indicator
break - definition
(L(-a)UNCH)
11a - ANCIENT HISTORY (anagram)
His certainty on moving is long gone (7,7)
his certainty on - anagram fodder
moving - anagram indicator
is - deinfition link
long gone - definition
(ANCIENT HISTORY*)
13a - AMERICA (insertion anagram)
Place one in loaded camera (7)
Place - definition
one - I
in - insertion indicator
loaded - anagram indicator
camera - anagram fodder
(AMER(I)CA*)
15a - ERASMUS (anagram)
Old theologian masseur massaged (7)
Old theologian - definition
masseur - anagram fodder
massaged - anagram indicator
(ERASMUS*)
17a - IMPASSE (charade)
I'm out to get checkmate (7)
im - IM
out - PASSE
to get - definition link
checkmate - definition
(IM)(PASSE)
19a - TOP GEAR (charade)
Car show right to prohibit work clothing (3,4)
Car show - definition
right to prohibit - last letter indicator for T
work - OP
clothing - GEAR
(T)(OP)(GEAR)
21a - CLASSIFICATION (charade)
Sorting Charlie with a way to become a girl! (14)
Sorting - definition
Charlie - C
with - positional indicator
a way to become a girl - LASS-IFICATION
! - for second part of wordplay
(C)(LASSIFICATION)
25a - UDDER (reversal)
Embarrassed date going around with posh tit (5)
Embarrassed - RED
date - D
going around - reversal indicator
with - reversal inclusion link
posh - U
tit - definition
(U+D+DER<)
26a - INANIMATE (container)
Dead prisoner to make room for a new one (9)
Dead - definition
prisoner - INMATE
to make room for - container indicator
a - A
new - N
one - I
(IN(A+N+I)MATE)
27a - TENNESSEE (rough homophone)
State ball game marine heard on faulty radio? (9)
State - definition
ball game - TENNIS
marine - SEA
heard on faulty radio - rough homophone indicator
("TENNES""SEE")
28a - GREAT (homophone)
You must pronounce this grid excellent (5)
You must pronounce - homophone indicator
this grid - GRATE
excellent - definition
("GREAT")
1d - PRIMA FACIE (anagram surround)
Tight Mafia dons cut price on first viewing (5,5)
Tight - anagram indicator 1
Mafia - anagram fodder 1
dons - surround indicator
cut - anagram indicator 2
price - anagram fodder 2
on first viewing - definition
(PR(IMAFA*)CIE*)
2d - ATTACHE (subtraction)
Diplomat involved with someone short (7)
Diplomat - HE
involved with someone - ATTACHED
short - last letter subtraction indicator
(ATTACHE(-d)
3d - HYSTERICS (anagram)
Is her cyst going to cause fits? (9)
Is her cyst - anagram fodder
going- anagram indicator
to cause - definition link
fits - definition
(HYSTERICS*)
4d - AWAIT (homophone)
Hope for a load to be delivered by trap (5)
Hope for - definition
a - A
load - WEIGHT
to be delivered by trap - homophone indicator
(A)("WAIT")
5d - PRESIDENT (&lit)
Pennsylvania's chief citizen? (9)
Pennsylvania's chief - first letter indicator for P
citizen - RESIDENT
? - DBE
Over-arching meaning: the President of the US is known as the chief citizen.
(P)(RESIDENT)
6d - ISLET (insertion)
One rental opened by special key (5)
One - I
rental - LET
opened by - insertion indicator
special - S
key - definition
(I(S)LET)
7d - TANTRUM (container)
Times defends article on funny pet (7)
Times - TT
defends - container indicator
article - AN
on - positional indicator
funny - RUM
pet - deifnition
(T(AN)T)(RUM)
8d - ECHO (container)
Drug business involving heroin or E (4)
Drug - E
business - CO
involving - container indicator
heroin - H
or - equivalence link
E - definition
(E+C(H)O)
12d - ASTRINGENT (charade / letter share)
A way round man sharing German bitter (10)
A - A
way - ST
round - RING
man - GENT
sharing German - one G for two words indicator
bitter - definition
(A)(ST)(RIN-G-ENT)
14d - AMENITIES (container)
Nice pal retains nurse to secure small services (9)
Nice pal - french indicator for AMI
retains - container indicator
nurse - EN
to secure - TIE
small - S
services - definition
(AM(EN)I)(TIE)(S)
16d - APPEALING (letter exchange)
Looking to dump queen for student - charming (9)
Looking - APPEARING
to dump queen for student - letter exhcnage indicator R FOR L
charming - deifnition
(APPEA(-r+L)ING)
18d - PALADIN (charade)
Champion popular with father and son (7)
Champion - definition
popular - IN
with - positional indicator
father and son - PA & LAD
(PA+LAD)(IN)
20d - EMIRATE (subtraction)
No good to resettle Middle-Eastern region (7)
no good to - subtraction indicator for G
resettle - EMIGRATE
middle-eastern region - definition
(EMI(-g)RATE)
22d - SERVE (subtraction)
Minister to maintain Tory must go (5)
Minister to - definition
maintain - CONSERVE
Tory must go - subtraction indicator for CON
(-con(SERVE)
23d - INANE (subtraction)
Silly son unseated from potty (5)
Silly - definition
son unseated from - subtraction indicator for S
potty - INSANE
(IN(-s)ANE)
24d - BUST (double definition)
Wonky boobs (4)
Wonky - definition one
boobs - definition two
A new puzzle to play tomorrow if you're up for it.