It is very hard to kill Raspberries. I'm sure they'll be back soon.

ur gonna have to play wait and see as each variety has it's own personality, then you factor in the mix Summer bearing or Everbearing....you should start to see some Fruit starting to grow now or very soon, then you will have to see if it fruits on top or bottom or top to bottom to figure out what types you have......easiest way for understanding this is the suckers that come out of the ground now and here forward will fruit on Top 2/10 tenths of of the bush more or less if you have Everbearing, ....Summer variety you will see no fruit on this years new growth
and surely don't cut anything down to ground level unless the whole cane has fruited...sounds a little confusing but very ez once you understand the life cycles .......as far as suckering goes each variety has it's own shedule, while some varieties may put out 20 suckers or more per plant, some will be far less even 4 healthy plants, and some will be way faster growers than others....i see tremendous growth daily if you know what to look for, also keeping a log like i do will also help in understanding everything better in hindsight.

Ask 4 help here, you'll get plenty, posting pictures of what you have can be helpful too

It sounds normal for zone 5. Canes leaf out first then slowly new canes come up. I'm in 6a and have a few new canes, not many though. Expect current canes to fruit in July.