Can one take a shuttle or taxi from Quality inn to entrance of CBX? Then how long of a walk to TJ airport?

Approximately 5 minutes.

If the hotels have a shuttle, you can probably get it for free but if not a taxi or uber can do. 5 minutes walk, 10 tops if you wonder by the stores.

5 min

Any one can drop you off in the entrance or parking lot ! And its 5 minutes walk from cbx bridge to tj airport