Across:
1 Take advantage of one’s credit rating (APPLY FOR A LOAN) and make a request to a person who takes interest in their work (APPLY FOR A LOAN)
10 Short (l) month (‘April’ without ‘l’ = -APRI-) in Pakistan (Pakistan = P-K-) with a (-A) (PAPRIKA) spicy type (PAPRIKA),
11 Sells Earl and Lady Grey (TEA SHOP) drinks (TEA S-) for short trip (-HOP) (TEA SHOP),
12 Rule (rule = LURE) out (= anagram indicator) draw (LURE),
13 What all sides today (APPLY on four sides of today’s grid) put in practice? (APPLY),
15 Kay (K-) and Dicky to the locals (-ILL) (KILL) in Kildare (KILL),
17 Bottled up in feelings (bottled up in ‘feelings’ = EEL) for swimmer (EEL),
19 All that remains (FOSSIL) of a type of aluminium material (aluminium foil = FO-IL) wrapped around ship (-SS-) (FOSSIL),
21 Summit (-TOP) following (= positional indicator) 20 down (‘lap’ = LAP-) (LAPTOP) opened by computer specialist perhaps (LAPTOP),
22 Tito ignored by dictatorial (‘Tito’ ignored by ‘dictatorial’ = dcarial = RADICAL) type of extremist (RADICAL),
23 Get back (RECOUP) from Puerto Rico without taking in riot (“Puerto Rico” without taking in “riot” = pueroc = RECOUP),
25 What the clown needs (WIG-) for broken (= anagram indicator) leg (leg = -GLE) (WIGGLE) and twitch (WIGGLE),
27 Put out of action in the mechanical sense (JAM) by orca swimming off Majorca (‘orca’ swimming off/ coming off ‘Majorca’ = maj = JAM),
29 Some hockey edginess (some ‘hockey edginess’ = EYED) kept under surveillance (EYED),
30 Jean’s make-up (jeans make up is DENIM), alas, is missed by ladies’ man (‘alas’ missed by ‘ladies man’ = diemn = DENIM),
31 Loses the head (l) with relationships (‘links’ = INKS) as they leave indelible marks (INKS),
34 Lad’s van (lads van = VANDALS) damaged (= anagram indicator) by hooligans (VANDALS),
35 Risk taker (INSURER) is fashionable (IN-), confident (-SURE-) and right (-R) (INSURER),
36 Do one’s best (APPLY YOURSELF) to write off for (APPLY) what’s in The Mirror, as you see it (YOURSELF) (APPLY YOURSELF).
Down:
2 Briefly (y) cough up (‘pay’ without ‘y’ = PA-) taking runny (= anagram indicator) syrup (syrup = -PYRUS) (PAPYRUS) copyrighted presumably by the Egyptians (PAPYRUS),
3 Gorilla throws away log (‘Gorilla’ throws away ‘log’ = rila = LAIR) from the animal house (LAIR),
4 French (F-) paper (paper = -RAPPE) laid out (= anagram indicator) (FRAPPE) and consumed in the parlour (ice/frozen FRAPPE drink),
5 Sketch again (RETELL) unnatural (= anagram indicator) tree (tree = RETE-) lines (-LL) (RETELL),
6 Backing (= reversal indicator) track (track = rail = LIAR) tells a story but not necessarily the right one (LIAR),
7 A (A-) follower in the religious sense (-THEIST) (ATHEIST) of non-believer (ATHEIST),
8 Rub in (APPLY) on trim (m) body (‘form’ without ‘m’ = FOR) and resist the temptation to touch (LEAVE) (APPLY FOR LEAVE) – it’s what fighters have to do to guarantee the rest (fighters/soldiers APPLY FOR LEAVE),
9 Twist someone’s arm (APPLY PRESSURE) to send off a curriculum vitae (APPLY for a job) for Harry (harry/lean on = PRESSURE) (APPLY PRESSURE),
14 Arrives with big bill (PELICAN) for place in (place in = PELICAN) wild (= anagram indicator),
16 Supervisor cleans out pores (‘supervisor’ cleans out ‘pores’ = survi = VIRUS) – it might cause infection (VIRUS),
18 Sound (VALID) derives from volume (V-) and moving (= anagram indicator) dial (dial = -ALID) (VALID),
20 Friend (pal = LAP) retires (= reversal indicator) from racing circuit (LAP),
21 The bar (LAW) discovered in Delaware (discovered in ‘Delaware’ = LAW),
24 Make a killing (CLEAN UP) with tip (-LEAN-) in Cup (C- UP) (CLEAN UP),
26 Take olives away from Seville orange (take ‘olives’ away from ‘Seville orange’ = lerange = GENERAL) – and that’s not being particular? (GENERAL),
27 Top (JERSEY) player puts it on (JERSEY),
28 Son gets out of limousine (‘son’ gets out of ‘limousine’ = limuie = MILIEU) in cultural surroundings (MILIEU),
32 Cohort of the characters appear loud (cohort of the characters ‘appear loud’ = EARL) in the House of Lords (EARL),
33 Questions (ASKS) things to do (tasks) off the top of the head (t) (‘tasks‘ without ‘t’ = ASKS).