Parses below:
1A Definition: courts. Wordplay: A (accepted) + S (small) + SIZES (measurements).
5A Definition: the singers. Wordplay: Anagram of ORCH (ORCHESTRA - ES (Spanish) - TR (translation) - A (a)) around I (with me among).
8A Definition: net (as in internet) chauvinist. Wordplay: IN (trendy) + CEL (frame, as in animation).
10A Definition: monster. Wordplay: LIBAN (LIBYAN without Y (no young)) after (follows) CA (about, as in circa).
11A Definition: sharp. Wordplay: DE (Germany) inside APT (fitting).
12A Definition: bends. Wordplay: SKINKS (lizards) without the first letter (headless).
13A Definition: foundlings. Wordplay: OR (alternatively + PANS (snapback, a.k.a snap backwards) around H (covering hand).
14A Definition: it's a hit! Wordplay: MAS (SAM (American uncle) in reverse (comes back)) within SH (in silence).
16A Definition: bond. Wordplay: Replace the H (hydrogen) in THE with I (iodine).
17A Defintion: on the beat. Wordplay: Anagram (freely) of POINT ME.
19A Definition: retro music. Wordplay: Anagram (adjust) of LOOSEN + U (up).
22A Definition: hooks. Wordplay: Anagram (bend) of RULE followed by SIN (guilt).
24A Definition: cast. Wordplay: COMP (free) + ANY (either).
25A Definition: to trespass. Wordplay: ER (ERGO (So) - GO (no-go)) around R (river).
26A Definition: ink. Wordplay: hidden within plaIN DIAgram.
28A Definition: rubbers. Wordplay: ER (Cockney girl (aka HER without the initial H)) repeated (stuttering), holding A S (a sister), followed by S (a bearing (aka south)).
31A Definition: &lit clue - delta is an older form of the letter D (dee) Wordplay: Take the letters in the prime-numbered positions (in its prime) of "A 'dee' letter, as": a DEe LeTter As.
32A Definition: taste. Wordplay: MAMI (IMAM (Muslim leader) reversed (returns)) coming after (pursuing) U (union).
33A Definition: silly doubledef Wordplay: Twitchy = erratic. Twitch is also a popular livestreaming platform, so a (live) stream might be Twitch-y?
34A Definition: inexperienced with. Wordplay: NEWTON (force's unit) without the final letter (interminable).
35A Definition: Alice's instruction (in Alice in Wonderland). Wordplay: some (of the letters) of trEATMEnt.
36A Definition: publish again. Wordplay: RE (about) + I (one) + S (second) coming before SUE (petition).
1D Definition: chili. Wordplay: SANCHO (Panza) without its first letter (head blown off).
2D Definition: fertilizer component. Wordplay: SALT (brine) + PETER (decline, as in peter out).
3D Definition: animal. Wordplay: BRAZE (BRAZEN without last letter (cut foot off)) anagrammed (crazy).
4D Definition: it's never been worse! Wordplay: ALISON KENT WOWS anagrammed (bizarrely).
5D Definition: auditorium. Wordplay: ASSR (ASS (idiot) + R (monarch)) within LOOM (tower), following C (cold).
6D Definition: show. Wordplay: O + PER (for) + A.
7D Definition: want to throw up. Wordplay: THRE (four (letters) of THREE) + C (one hundred) anagrammed (confused).
9D Definition: doubledef/charade. Wordplay: CONTENT (happy) + CREATOR (god) - and a CONTENT CREATOR is someone with online influence.
15D Definition: old currency; the 'mais oui' hints that it is French. Wordplay: hidden within maiS OUi.
17D Definition: down. Wordplay: BILLY with its first and last letters removed (stripped).
18D Definition: on the grapevine? ('tis a grape.) Wordplay: CAMUS END I anagrammed (edit).
20D Definition: glimmers. Wordplay: PALES (fades) before CE (church (of England)), within (in) O (old) S (South).
21D Definition: amateur. Wordplay: LADY (woman) without (loses) D (daughter).
23D Definition: &lit. Wordplay: Take the alternate letters from jUg RaNk - and an urn is an alternate type (rank) of jug(?).
26D Definition: season (as in to acclimatise). Wordplay: homophone (audibly) of 'in your'.
27D Definition: lottery. Wordplay: FAR (a long way) reversed (back) in DT (withdrawal - delirium tremens, common withdrawal symptom). (This might be the furthest stretch in this puzzle haha.)
29D Definition: covers. Wordplay: Metal (AL (aluminium)) + IBI (B (book) within II (two)).
30D Definition: fashion. Wordplay: Anagram (change) of LETS surrounding (around) Y (homophone (say) of why).