You ask very relevant and valid questions - I'm always surprise that candidates in Malaysia, even senior ones, don't necessarily understand the way so many things can go wrong during an offer process.
1. I've seen offers retracted enough times due to medical test results that had red flags in them about a candidate, to know that your offer is never 100% secure until you've passed
ALL mandatory pre-hiring processes and checks,
AND you have gotten the offer letter in black and white (even an email does not suffice as that's not a legal document the way a letter of employment is).
So forget about backdating your letter. What you actually need to do is just politely inform HR that you'd like to wait for medical results to be out and for you to sign your offer letter before tendering your resignation. This is after all, what cautious, reasonable, and smart candidates with good judgment and understanding of risks do.
We are talking about just a few days difference, which isn't going to move the needle on how well you perform at the next company. If HR isn't on your side, try reasoning with the hiring manager. What will he do if he were in your shoes? Will he dare resign without passing a medical check - what happens if he discovers cancer in that process? Is the job offer still valid?
2. Yes you can. Once again, pay attention to the fact that there's always a tiny disclaimer in every offer letter in Malaysia stating something along the lines of 'employment or offer is valid subject to satisfactory passing of all pre-employment checks, etc.'
Another advice for when you finally resign: your current boss may freak out, refuse to meet you, try to stall for time to get a counter offer approved, whatever. Assuming you are dead set on leaving, remember to date your letter of resignation and keep HR cc-ed throughout. Your resignation is effective the day you sent that email/letter in, not the day HR or your boss accepts your resignation.
Thanks CareerSifu for the reply.
A small update to my previous questions. My new employer HR has confirmed over email that I have passed my medical check up and an on-boarding process will start.
, I don't get along well with my boss, but to take the high road I decided to inform him over whatsapp first followed by an email of my resignation letter and then handing over the actual copy to him when he's in office. Now the headache arises because I believe he's trying to stall me, I will be out of office for a work assignment next week and he isn't in for the rest of the week. I am tempted to CC HR in my email with my letter however he has explicitly told me over text that it should be send to him first before HR comes into the picture.
Admittedly I have gotten into this worrisome issue because I have overpromised my new company on a too optimistic start date.