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-1. Supernatural vision altered man's path (8)
-2. Fight adversary off for wee-hours work assignment (9,5)
3. Like houses, the woman remains (5)
4. Little devil scraps cars from overseas (7)
-5. Around middle of web, horrible spiders spread out (8)
6. Searched for plot (6)
7. Enchanters with strong desires (7)
-8. King wearing large-scale disguises (5)
-9. Practical bachelor buried in ground alive (6)
-10. Hypnotic eyes holding attention (6)
-11. Undertaking a very loud song (6)
12. Number of small leaves needing water (6)
13. Box muffling frightening sound in last car (7)

2. graveyard shift (fight adversary = anagram / lit. def.)

Well done, michele!

10. notice (hidden answer = hyp[notic e]yes / attention)

1. Phantasm - Anag (man's path)

Both good!

5. disperse (spread out) [middle of web = e, with anagram (horrible) spiders ]

Yes!

9. viable - [cont. ind. bachelor (B)] + alive , anagram = practical

11. Affair (is an undertaking) - A f f = A very loud as in music / song = air)

Bernie

Both good!

8. King wearing large-scale disguises (5)
>>Masks

Disguises - (MASKS)
King is a wordplay - chess abbreviation of K
Indicator word will go around or enclose the letter K.
Large-scale -- bulk or a large quantity, which is a MASS
So, putting the K inside (wearing) MASS gives us "M-A-S-K-S"

Well solved and explained, soot!