You would be surprised how many strange things I've soldered with my not-so-pro equipment...
And they still work

Hint: if you can solder, you can make sturdy stuff out a cable and a proper connectors.
I suggest big tamiya connectors, both for your speakers and both as the input of your amp.
Just solder a wire pair to the correct pins (leaving the broken connector there, if you don't wanna remove anything), and just put tamya conectors to the wire pairs.
Those connectors can'T be pulled apart when connected, and the are polared, so if you make them correctly, you can perfectly make them speaker connectors.
They are quite cheap, and easy to make (there are two metal pins, which you attach to the stripped wire end, and when you are done with the two, just click them into the pastic part of the connector.
Tamiya connectors are easy to find in modelling shops.
THis is how they look. The left one is the male connector, you can see that "tongue" on the top of it, that clips to the female, so you have to push it down if you wanna remove them, so you can't disconnect accidentaly.
EDIT: In the picture that is the small tamiya connector, use the bigger one, which looks the same but in a bigger size, so they can stand bigger power.
