You can consider to shift in first, this will lessen your rent obligation. I assume that the aircond piping already ready and the flooring is already cement prepared for installation hence the installation work for aircon and laminate floor not dirty/no dust. Only thing is kitchen which is dirty during installation, so you may leave that area empty until work is finish.

Cement floor won't damage one. Just that you sakit tulang belakang later as you have to shift the boxes as they install that area. The hob and sink can put in kitchen and other kitchen stuff just wrap it properly so it will not be damage/dirty when cabinet installer come. Base on my opinion, the contractor is in cash flow problem so he will delay you until he can find new job to get money and complete balance of work. This may take weeks. Report to police no use unless you are VIP. Even if you find new contractor, it will take at least two weeks for them to do you floor and 1 month for your kitchen. So move in first better.

The "step on hole'' feeling is common for laminate flooring so if it only affects a small section then let it be.