Unfortunately, GSV Street View is not up-to-date here, so we need to see some photos of the approach. Cardiff Council seem determined to make driving in the city a complete nightmare, and have succeeded based on threads here recently. So not only can we not give advice yet, we can't even drive around Cardiff virtually to see what your route-to/from work options are.
You could submit reps on the second PCN pointing out that you were not aware of contraventions here until the two PCNs arrived in the mail. Ask for the second to be cancelled on the basis of two PCNs being a disproportionate penalty when you weren't aware of any wrong doing whilst driving.