Hi @casmae,
Welcome to the Bunnings Workshop community, it is fantastic to have you with us.
As you are renting, it would be best to inform your landlord or property manager prior to carrying out any work. Ultimately, things like this happen and being open and honest is usually the best policy. Hopefully, they'll be understanding and will be happy for you to proceed with a repair.
With this being said, there are two main issues you're going to have with this that we are going to have to try to overcome. The first is that you have a cover material, which is likely vinyl, that is lightly textured, which is tough to replicate. The second is that the material behind that vinyl is dented, so if you just paint over it, there will still be a depression in the material, and the vinyl will not perfectly line up.
What I would suggest is that you use a utility knife, ensuring you wear gloves and long protective clothing to reduce the risk of lacerations, to gently cut open the vinyl along the already existing crack lines and peel it back from the surface beneath just enough so that you can see the depression in the material.
Once you've done this, use a filler such as this UNi-PRO 500g Multi Purpose Interior Filler to fill the dent in the material so it lines up with the back of the vinyl. Allow it to dry, then give it a sand with a sanding sponge if necessary to adjust the height. After sanding, wipe down with a cloth to remove any dust from the surface.
Now the surface is even, you can use a standard PVA glue both as a primer and to stick the vinyl back to the surface. Mix the PVA glue with water, 1 part PVA to 4 parts water, then apply this mixture to the filler, allowing it to dry thoroughly before proceeding. This will bind the plaster together and create a stable surface for the vinyl to bond to. You can then use your PVA unmixed to glue the vinyl onto the primed surface.
With the vinyl back in place, you can then use a very small amount of touch-up paint using a craft brush or ear bud to help conceal the cracks.
Let me know what you think and if you have further questions, please don't hesitate to ask.
Jacob
