Do you think there is a market for a bitcoin backup service?
Yes, of course

Would you personally be interested?
No, I don't need remote backups

What sort of features would you want to see in the service? (basic file backup, MS SQL backup, MySQL Backup, Oracle Backup, Ms Exchange backup, HyperV backup, ESx backup... ect)
The more the better but probably you should focus on maybe 5 services, do a bit of market research and offer it at a competitive price

What concerns would you want to see addressed?
1) Why people should trust you and your service. Can you prove it somehow? I mean, is the service stable? US/EU/AU? Speed? All this kind of information
2) Is the client multi-platform? Win,Linux,OSX,iphone,android,etc..

What sort of price point would you expect to see? (in USD)
3) Subscription or one off payment? At the moment there is no way to setup a subscription with bitcoin afaik