Please help me. I am not sure if the following usages are idomatic. Thank you so much!

1. to do A, instead of to do B

2. propose doing
propose to do

3. difference between "excepting" and "except"

4. 1) The reason of somthing is because....
2) The reason of somthing is that....
3) for the reason that....

5. A proved itself to be...

6. warrant doing something

7. differences among "second", "secondly" and "secondarily" as adverbs.

8. difference between "less" and "lesser"

9. Is "one registered" less idomatic than "one that is registered"?

10. paper of all kinds [is | are] ??
All kinds of paper [is | are] ??

11. good enough that...
good enough so that..

12. (OG 251) its number are greater than... (why use "numbers", rather than "number"?)

13. a) seem as if ...
b) she seems an old woman.

14 "Even as" = "Just as"?

15 "Not all their members meet..." = "All their members do not meet"?

16. requirement for something
require of somebody to do somthing
I think it is ok to say "require something of somebody to do somthing" (OG181)

17 "while once" = "because"?

18. too good for somebody to do something

19. as an instance

20. Can "Also" be put at the beginning of a sentence? OG 241 ("also the sun" in B)

21 call for something to do

22 invest into ...

23 A proves less popular than B. (I think there should be a "does" before or after B. Why is it omitted?)

24 Is is right to say "as though during the formation of the universe"? I know it is OK to say "although accouting 5% of the population".