From your description, I think you are saying that the ASA user access tunnels establish correctly.
And that the users are setup without split tunnel so internet access will be from the ASA.
And that users are blocked from internet access after connecting.
If this is true, you would need to look at your outbound internet access policy setup on the PA. Find the zone assignment for the address pool you assign to users on the ASA.
Make sure there is an outbound from this zone to untrust policy on the PA.
Make sure there is a NAT policy from this address and zone to untrust on the PA.
Check the logs on the PA for these source addresses to see why the traffic is denied. Also confirm you have logging turned on for your final deny rules.
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