To answer your first question, it is what the group first called themselves until they realized what the term meant. Many hung teabags on their hats and carried signs 'teabag them before they teabag us'. The name stuck.
Secondly, they are certainly allowed to voice their thoughts, I don't hear anyone saying they can't. Do you remember during the health care 'debate' last year when tea party groups would go to town hall meetings and shout down everyone trying to speak? What about those citizens rights to speak?
As far as finances go for these groups, a great deal of it comes from PAC's formed by Republicans like ****** Armey. This is merely a movement the Republican party is taking over as a re-branding effort. Another major source of funds in Koch Industries.
And to answer your last question, yes, 24/7.
If you need any proof of what I just said, just youtube or google it.
FuzzNJ wrote: