Hi Milanodan and welcome. First you can change to 32 bit BUT you would have to buy a key to do that. The key provided by your laptop maker would only
be for the OS installed at the factory.
Now for the software issues. I have several 32 bit programs which run fine on my 64 bit system, Windows 7 has a special folder for them in fact, system WOW64, Windows on Windows. If compatibility mode won't work have a look Here
to see in they are compatible with Windows 7.