Across:
1 Blame (HOLD TO ACCOUNT) hothead (‘Hot’ head = H-) for taking vintage (-OLD-) dress (= anagram indicator) coat (coat = -TO AC-) from Dracula (Count Dracula = -COUNT) (HOLD TO ACCOUNT),
10 Order (O-) to carve (carve) damaged (= anagram indicator) (carve = -VERAC-) bone (-T bone) (OVERACT) out of ham? (OVERACT),
11 A riot on (a riot on) ground (= anagram indicator) (a riot on = ONTARIO) by the smallest great lake (Lake ONTARIO),
12 A Bandon (‘A Bandon’ = ‘abandon’ = DROP) director (D-) writing (from the 3Rs = -R-) short work for The Theatre (operation = -OP) (DROP),
13 Today on all sides (‘hold’ on all sides of today’s grid = HOLDS) and bottoms of the boats (HOLDS),
15 Lock-up (HOLD) for most of 13 across (most of ‘holds’ = HOLD),
17 What the opposition has to say (NAY) to any (any) problem (= anagram indicator) (any = NAY),
19 Made a home (NESTED) out of necessity (NE-ED) across the street (-ST-) (NESTED),
21 Lord from Dusseldorf (‘Lord’ from ‘Dusseldorf’ = dussef = FUSSED) made a mountain out of a molehill (FUSSED),
22 Sculpture (bust = BUS- -T) includes heads of Hoover, Truman, Ike (heads of ‘Hoover Truman Ike’ = -HTI-) (BUSHTIT) and songbird? (BUSHTIT songbird),
23 Outstanding (UNPAID) organisation (UN-) put up the cash (-PAID) (UNPAID),
25 Creep (GO SLOW) gets advice from traffic police (GO SLOW),
27 Spilling over (= reversal indicator) drink (sup = PUS) is a disgusting matter (PUS),
29 Instant (TICK) cola removed from cocktail (‘cola’ removed from ‘cocktail’ = ckti = TICK),
30 It’s heart-warming without harming (‘heart-warming’ without ‘harming’ = ertwa = WATER) what divides the Irish and the English (WATER),
31 Some Cervantes (some ‘cervANTEs’ = ante) revolutionary (= reverse indicator) characters (ante = ETNA)) capable of getting heated and blowing top (Mount ETNA),
34 Rob (DESPOIL) and Isolde (Isolde = DES-OIL) travelling (= anagram indicator) around park (-P-) (DESPOIL),
35 Prometheus is losing the (‘Prometheus’ is losing ‘the’ = promeus = SUPREMO) head, boss (head boss = SUPREMO),
36 Elderly (old = -OLD-) head of state (head of ‘State’ = -S) going to The Hill (tor = -TO R-) in old carriage (hansom = H- -ANSOM) (HOLDS TO RANSOM) demands concessions (HOLDS TO RANSOM).
Down:
2 Punishing (ONEROUS) Oscar (O-) for being easily frightened (nervous) without Victor (v) (‘nervous’ without ‘v’ = -NEROUS) (ONEROUS),
3 Relative (dad = D-AD) squeezed energy (-E-) (DEAD) out of juice? (DEAD),
4 Another (= anagram indicator) potion? (potion = OPTION) Take it or leave it! (OPTION),
5 It’s not clear (CLOUDY) cook (= anagram indicator) could (could = CLOUD-) finish pastry (finish ‘pastrY’ = -Y) (CLOUDY),
6 Seedy types (OATS) of tomatoes released to me (‘tomatoes’ released ‘to me’ = atos = OATS),
7 Not the first (‘Not’ the first = N-) to get victory (-V-) in Euros (Euros = -ER-OUS) playing (= anagram indicator) (NERVOUS) with butterflies in one’s stomach (NERVOUS),
8 Support (HOLD) is a hot topic (IN) and an important issue in divorce proceedings (CUSTODY) (HOLD IN CUSTODY) to apprehend (HOLD IN CUSTODY),
9 Works (HOLDS DOWN A JOB) in ship (HOLD-) and shipyards primarily (‘Shipyards’ primarily = -S) in Northern Ireland (DOWN) and it’s a (A) chore (JOB) (HOLDS DOWN A JOB),
14 Become suddenly aggressive (LASH OUT), as Whip (LASH) is not in The House (OUT) (LASH OUT),
16 Rebellious (= reverse indicator) clip (t) of Tibet (‘Tibet’ without ‘t’ = tibe = -EBIT) leader of democracy (leader of ‘Democracy’ = D-) (DEBIT) is a concern of those keeping accounts (DEBIT),
18 First cousin dismisses crisis (‘first cousin’ dismisses ‘crisis’ = ftoun = FUTON) for anyone retiring (FUTON),
20 Either way (= palindrome indicator), it’s covered up by Hindu deity (covered up by ‘hinDU Deity’ = DUD) in Turkey (DUD),
21 Some effigy (some ‘efFIGy’ = FIG) in the orchard (FIG),
24 Artist (PICASSO) from women’s institute (Irish Countrywomen’s Association = ICA = - ICA-) on ship (-SS-) in river (River PO = P-O) (PICASSO),
26 Sign (sign of Zodiac = Leo = LE- -O) over end product (end ‘producT’ = -T) and jewel (gem = ME G-) recalling (= reverse indicator) (LET ME GO) the demand of convict (LET ME GO),
27 Secretary (PA-) left (-L-) accommodation (-LET) (PALLET) with makeshift bed (PALLET),
28 Motion detector (SENOR) used up (= reverse indicator) by climbers (roses = SE-SOR-) taking in summit of Nuptse (summit of ‘Nuptse’ = -N-) (SENSOR),
32 Rips off parodist (‘rips’ off ‘parodist’ = aodt = TOAD) – a nasty piece of work to the locals (TOAD),
33 A jar (ajar = OPEN) with old (O-) writer? (-PEN) (OPEN).