Jim's failing (в данном случае, ИМХО, failing - существительное)
He doesn't have a lot of things to do for this evening.
There are not a lot of books in this library.
(В предложениях с отрицанием всё же лучше использовать many/much, а не a lot of).
<span>1. If you (to finish) on time, you (will go) to the movies.
2. We (shall be) plessed to see if you (arrive).
3. We (shall go) nowhere tomorrow if it (rains)
4. We (shall have) a hike if the weather (is) fine.
5. I (will take) a taxi if I (do not have) enoght time.
</span>
2) not sure how
3) you need
4) me show
5) to do
6) give you