I would put the 2KB of data in the middle of a 4KB page, to avoid interference from reads and writes close to the page boundary. Similarly, keeping the write data separate is also good idea for the same reason.
Having contiguous read/write blocks may be less effiicent than keeping them separate. For example, a cache that is storing data for code interested in just the read-only portion may become invalidated by a write from another cpu. The cache line will be invalidated and refreshed, even though the code wasn't reading the writable data. By keeping the blocks separate, you avoid this case, and writes to the writable data block only invalidate cache lines for the writable block, and do not interfere with cache lines for the read only block.
Note that this is only a concern at the block boundary between the readable and writable blocks. If your block sizes were much larger than the cache line size, then this would be a peripheral problem, but as your blocks are small, requiring just a few cache lines, then the problem of invalidating lines could be significant.