Please note that this is off-topic here, but it's always a bummer when you don't get a job. I've answered to throw you a bone, but PLEASE read through our help center before you ask another question.
what RAID array(s) would you recommend for a read/write intensive database on NAS?
If you have sufficient write cache, then any RAID level will be fine. If you're assuming a condition with no write cache, then any RAID level without parity is preferred (RAID 1, RAID 10)
what would you do to ensure network availability?
This is clearly an open-ended question with no right answer. It's meant to gauge your knowledge of networking protocols and design. There's no "right" answer to this, there's only what you know.
Things that they might be expecting you to talk about are: redundancy in a core switch (multiple supervisor blades), redundancy across core devices (OSPF, VRRP, etc), physical design like having redundant fiber into the building from opposite sides of the road. They might even want to hear about datacenter availability, like redundant UPS units and placing redundant network cores on different legs of different UPS units.
Again, there's no "faking" an answer to this question. Either you know it and have a good answer or you don't. They'll be able to tell, don't BS if you don't know.