Bought home with 10% down (conventional), want to buy another home with conventional 90 days from first home?

[Mo Sammy]

I bought a home with 10% down using a conventional loan. It was owner-occupant deal from the bank (not FHA). I have lived in this home for about a month or so now, but found a better property 10 miles away - and I would like to buy it as my primary residence with 10-15% down (not 20%) using conventional loan with a different bank from the first home.

Questions:

1. Is this possible?
2. Will the second bank ask my owner-occupancy clause from first bank or simply focus on my income to debt ration? Does the 2nd bank even care if the first home is owner-occupied or not? Remember, neither loans are FHA.
3. Will the rate and down-payment for 2nd home mortgage be a primary residence rate or investment rate?

Couple of things to note:

1. I'm well within my income to debt ratio to afford both properties. In fact, it's 25% total front-end expense of my monthly income (limit is 38%), back-end is fine.
2. My credit scores are in the 750 range.
3. The first bank hasn't started reporting my first mortgage as a credit line on my credit reports yet. I have a pre-approval from 2nd bank for the 2nd mortgage already.

Thank you, Thank You, Thank You!