Plastic pots get hot so I would use some other type of container. I would also place it where it gets less wind. Too much of both can complicate things so go less sun and less wind...

I am uncertain if the leaf damage will recover; the leaves may not so, I would leave the leaves alone and see how the plant responds. If the leaves brown out then obviously they did not make it and you can cut the petiole, the little string that links the leaf to the stem. If the stems are ok and the ever important roots are also ok, the stems may leaf out after a wait of several weeks. If the stems brown out all the way down, there may be new growth from the base but not quickly. I once had an issue in the Fall and new growth was delayed until the following year so... keep the soil as evenly moist as you can, keep the soil amended and fertilized (but do not go overboard with ferts) and keep it getting some morning sun and protect it from winds in non-plastic containers.

Thank you!

Some of the stems have started to brown out. Should I cut them back or leave them as is?

You can. I'd normally keep them under observation longer to see if they will leaf out from the still green section of the stems (or not) or see if the whole stems will brown out (this is the most likley outcome).

The leaves in the photos are goners. It *should* leaf out again, but you'll probably need to get rid of those existing leaves soon to help the process along. They should turn brown and crispy.

NO, I repeat NO direct sunlight (only bright shade) until the plant recovers.

Remove any foreign objects like sticks. They're no longer of use.