Not sure what is causing your lag in chat i'm afraid, but your upload speed should be at least 10 times what you are measuring (on a good connection).
You should not be running speed tests whilst on live as this will not give you accurate results. Is your upload speed recorded whilst doing this? Although yoou should not be kicked from live whilst performing a speed test.
Sorry can't be much more help, but maybe try a speed test when connected to the test socket and nothing else connected to get an accurate view of your download/upload speeds. If upload is really that low then you should have it investigated.
