The supplied charger comes with 5-15 and 14-50 adaptors, so it can do both 1 and 2 on the right outlets.
I'd recommend getting a hard wired wall EVSE for 230 charging. With hardwired, you save on a GFCI breaker in your panel.
The portable ones don't really look suitable for leaving out in perpetual damp. A mini shed over the outlets with space for a a charger seems like a very prudent idea in your situation.1' wide, 2' tall, 6" deep would do it, roof sealed to the wall. I wouldn't want one being rained on regularly. I have mine in a car port, but still went for a weather proof EVSE. When I wired it, I also pulled a 110/230 20A set of wires to a weather proof 5-20 + 6-20 outlet. Those two share a GFCI breaker. That means I can also use my Tesla UMC2 at 3.8kW if my wall charger ever has an issue, or I have an EVisitor! A weatherproof 14-50 outlet of course makes swapping EVSEs easy. I went for a 48A wall EVSE for a couple of reasons.
1. I might get a car that can take more than 32A,
2. I might get a 2nd EV and want a 2nd wall EVSE. Some wall EVSEs can share a power cable...
The portable chargers dangle from the short power cord, looks ripe for getting filled with water if they have swappable cords, like the stock BMW and Tesla ones do...