Deposition and interrogatories due at different times.

Yes. CCP 2019.020(b) provides that "the methods of discovery may be used in any sequence, and the fact that a party is conducting discovery, whether by deposition or another method, shall not operate to delay the discovery of any other party."

Yes, the fact that there is a deposition set in 65 days does not prevent you from using any of the other discovery tools at your disposal. The rules in the California Code for Civil Procedure for each individual method of formal discovery apply to each individual method that you use.

Yes, you can propound the interrogatories while the deposition is pending.