Another easy one, lots of anagrams and containments. Probably also reasonable beginner crossword fodder!
Across
- 1
- Report mimic used in public relations (5)
PAPER — APE (mimic) in PR (public relations) - 4
- Bus involved in crash is OK (6-2)
THUMBS-UP — anagram (involved) of BUS inside THUMP (crash) - 10
- Authority's men …