question 2. Where did you first meet.
I picked her up at the airport, Would I put that as the location for where we first met?
Yes. You can mention in other answers that you met online.
question 4/5 gifts
She visited me for a little over 2 months, would the gifts given then be considered gifts from our first meeting? or do the gifts from the first day only count?
This question means only gifts given the first time you meet. In arranged marriages, such things are common. So your answer would be 'no.' However, I am sure VOs are used to people misunderstanding this question, and will not think someone is lying if they mention gifts given at other times.
In any case, definitely mention all gifts given to each other at other times somewhere in your application! It is good proof that your relationship is genuine.
6. details of first meeting
again, would the entire first time she was here count or just the first day?
It is the first day you met. The details of other time you spent together can go in other answers and in your relationship letter.
9.details of after first contact/meeting
if the details count for the entire months she was here, should I repeat them again, or continue from after she left?
Describe the rest of her stay with you for the two months, and then all the contact you have had since.
14/15.formal ceremony for engagement/marriage
I've never really heard of a ceremony to celebrate your engagement? and we had a civil marriage done, we had 4 people with us,we exchanged rings,slightly dressed up but nothing big. would I put yes or no for formal?
If you had no engagement party, then 'no' for that question. But if you took people out for dinner to tell them about your engagement, or had a small party with your family to tell them, you should mention that.
For the weddeing, here 'formal' doews not mean 'a big fancy wedding'; it just means 'did you actually get married in front of witnesses, with any type of ceremony?' So you should put 'yes' for this question. You definitely want to emphasize that you got married, and that it was a special occasion for you, even if you didn't have a lot of guests.
27.have you and your sponsor lived together
She visited me for a little over 2 months.I live with my parents, she didn't have an address here,didn't pay bills or anything like that. is that considered living with me?
It would not be considered living together for a common-law application. But for the purposes of this question, it is considered living together. List all time you have actually spent the night together in the same place under this question! (I guess one or two nights a week at the beginning of a relationship wouldn't count, actually.) But just list the two weeks you spent in a hotel together, then list the two months she stayed at your parents' house with you. And clearly explain that the one time you were staying in a hotel, and offer proof if you still have the hotel receipts; then clearly state you were staying together with your parents, and maybe get them to include that detail in a letter of support.
I have seen appeal cases where the judge questioned why the applicant had written 'no' to the cohabitation question, when they had in fact spent three weeks (or whatever) together in a hotel. As long as you are clear that it was just a temporary arrangement, they will not accuse you of misrepresentation. If you do want to answer 'no', because it was not long enough to be 'cohabitation' in your eyes, then at least include the explanation that, while you didn't live together, you did spend two weeks together in a hotel, and she did stay with you for two months with your parents.
In other words, answer 'yes' or 'no to that question, but make sure in both cases you mention the times you did stay together.