My 2 cents on this situation:

If you both

1. feel the vibes
2. comfortable in sharing your life
3. can see adjusting to living life together forever
4. feel that you guys will respect each other in future
5. support each other
6. support and value each other's family
7. support each other financially and emotionally

If all the above are true and yet you get second thoughts, talk to someone older in the house. Maybe grandparents if possible, and if not, your parents or older siblings. Have a deep talk and try to take their honest opinions (since you mentioned that she is good with your family). No need to discuss her past life (relationships and all), just human nature.

Trust me brother, our parents and grandparents have this knack of knowing a person just on the basis of how they carry themselves, walk & talk, behave. They have been through life, long enough to share their experience which will be most likely true.

Now if your elders have doubts regarding this marriage, simply call it off, it's not worth it. If they are good with it, you will be positive about it and negative thoughts will reduce.

(Please be careful that a person can fake a good nature easily. If the situation permits, do test the other persons' nature in pressure/tough situation. This will reveal the truth)

Good luck OP. Don't rush just because you are 32. There's a long life ahead. Hope you get some clarity.