Ren -

If you can nip into Retravision or similar, you can pick up "hotplates" for around $50. We're currently renovating and I have no stovetop either.

To cook spaghetti, I put boiling water into a large microwave-proof bowl with a lid, and cook it for the recommended time in the microwave on high. Break the spaghetti up to fit it into the pan.

Also get a slow cooker if you can - you can use this for lots of meal bases (like your spag bol sauce).

Or cook your spag bol base on the bbq in a frypan, reheat later when its time.

That's a thought, do you have an electric frypan? Great for spag bol bases and stirfrys!