I suspect "air surveillance" is used differently compared to "volume search", and implies a very general meaning similar (or identical) to "early warning" in which you will be able to detect an object at long range but only have a very rough idea of where it is due to the low frequency/low tech radar that is being used for this purpose. Maybe it should be thought of as a poor man's volume search.Volume air search is the correct term because this is what long wave search does best. This has completely nothing to do with multibeam forming, and quite on the contrary, this is best done with large sweeps or scans in 360 degrees over a large area, and these sweeps can be done with a mechanical rotating array, or with electronic steering via a fixed array, or a combination where the array electronically scans vertically, but is rotated for horizontal scanning.
There are definitely machinery spaces there, namely the diesels. You can tell by the uptakes that are built into the aft mast. This area almost certainly cannot be relocated.From the looks of the cutaway, that area is free of machinery spaces. It should be living quarters underneath, along with whatever is needed to support the radar. You can redesign that and move those somewhere else. If you really need the living and storage spaces, you can extend the length of the ship. The block module that comprises the area --- remember the ship is built in blocks and sections, can be made longer with 64 VLS, while the remaining blocks still stay the same.