With regards to chandelles and lazy eigths: check POH for any specific limitations other than G-loading. I assume (note, assume) you should be allright. Eigths on pylons should be allright as it is a relatively gentle ground reference maneuver.
Your cross country trip is NOT allright for to be the "qualifier". ONE leg alone needs to be over 300 nm, and it must include 2 stops. Ie you can go A-B (301nm), B-C on the way back (151nm) and C-A (150nm).
I assume it's under FAA part 61 based on the nature of your questions...?