Very surprised your reaction to number two isn't closer to "no, do not do this, run a mile from any employer encouraging you to break the law, especially for a temporary job". It's not just immigration law, I can't imagine the tax implications here are above board.
On the second one, you should definitely outright say the risks they’re making you take as described here and ask if there is anyway they can work with you in a visa
LW2.......... name and shame. NAME AND SHAME.
Very surprised your reaction to number two isn't closer to "no, do not do this, run a mile from any employer encouraging you to break the law, especially for a temporary job". It's not just immigration law, I can't imagine the tax implications here are above board.
On the second one, you should definitely outright say the risks they’re making you take as described here and ask if there is anyway they can work with you in a visa