Verified answer

Part I

1 improving

2 promised

3 firm (= твердые (гарантии )

4 urged

5 else

6 different/wiser/older

7 changed/influenced

8 prescribed

9 cure

10 else's

11 things

12 further

13 cure

14 illness

15 cured

16 evolved

17 start

18 remedy

19 determine

20 exercised

21 fever

Part II

22 absent-minded

23 hoarse (до хрипоты)

24 shiver

25 sad/happy/strange (тут многие прилагательные подходят)

26 palms

27 urge