With regards to UK taxes, unless you're self employed, or have otherwise been told that you have to self asess, then you don't have to file a tax return over here, it's all done PAYE (pay as you earn). There are a few exceptions, for example, if you have significant overseas income which you remit to the UK, but generally, if you're employed over here, and you see that income tax is taken off your wageslip every month, then you don't have to file.