They can certainly APPLY for one, but whether they'd get it depends upon what they'd been deported from the US for. If it was for suspected involvement in terrorism, involvement in organised crime or the drugs trade, or anything that could pose a danger to the public, then they probably would have their application refused.
If, however, it was for being an illegal immigrant to the US an asylum seeker, or for something like financial fraud or buisness crime which they had already been penalised for, then they'd have a better chance of their application being considered.
No need for a visa, as the UK is a participant in the Visa Waiver Program.
Absolutely no! You have to obtain UK visa before going to UK
If you are not a citizen of the US or Canada, you must have a US Visa to travel in the US.
You dont need a visa. Its part of the Visa Waiver program between US and UK
No - you can enter the UK for 90 days without a visa for tourist purposes
If you get the UK work visa then the work permit is not given to US so you need a work permit for US.
In the way of actual paperwork, none apart from the marriage license. The UK citizen comes in on a visa waiver and you can get married in the US. For the US citizen to get to the UK, that is where the paperwork comes in. You both need to go to the UK embassy in the US and apply for a marriage visa for the US citizen to come into the UK. The US spouse will then be able to work straight away when you get to the UK also based on that visa.
Nope it wont effect
No, a UK visa is only valid for the UK. You need a "Schengen visa" for Switzerland.
Yes
UK Student Visa Consultant
Yes