Guys please help me
Your money isn't lost. Stop panicking.
if I export the private keys of the address and import it to Electrum, will I get my funds?
You should do that and then attempt to consolidate the outputs.
is there a chance that I will import this address's private key to my Electrum and not get the full 34k?
No, it will just work

Make sure you use a secure system though, it's a lot of money to keep in a hot wallet.
I suggest you try sending a smaller amount at once. Send it to one of your own addresses, and do that a few times.
I'll explain it this way: You're now trying to pay $5000 in quarters! That creates a very large transaction.
If you exchange your quarters for $100 bills first, in several steps, you can make your payment.