Do you have 2 diff types of connections? Not too clear...one broadband works perfect and another wireless which you're having an issue connecting?
'I have broadband at home works perfect and fast. Another home I am on a wireless network.'
You may try a System Restore
and restore your computer where all were playing nice.
If it's still an issue please provide an ipconfig /all of your computer.
Click on Start => in run or search box type cmd
press enter (run as Admin). From the black screen, type the word ipconfig /all
and press enter. Right click on the black screen or Command prompt then choose Select All and Paste the results here.
Please let us know.