Laxman as permanent coach in T20I's? NO! Zaheer Khan or Ashish Nehra should be the coach in T20I format.. Zaheer has got good experience with Mumbai Indians and understands the T20 game from the franchise level. Nehra has presided over GT's title win last season (though he was not the head coach). Laxman was not part of the T20 era at all, and should not be near the national T20 side on a permanent basis.
Hardik should be T20 and ODI captain eventually and I wouldn't mind if he leads India into the 2023 ODI World Cup. It's pointless to give it to Rohit Sharma, who clearly has fitness issues now with his bloated up body. Long term future - give test captaincy to Rishabh Pant and make him play only that format (and maybe ODI's). Hardik should be the ODI/T20 captain.
I don't agree with giving Hardik the captaincy in ODIs too as of the moment. People are having too many rosy memories of Hardik, I remember him shouting verbally at Miller and Tewatia in IPL games on multiple occasions. He's been animated very much in the past as an individual player too. A rather calm Rohit previously has been animated already as Indian captain once he moved to the role full-time and it is highly likely that Hardik may be as emotionally charged as Kohli and Rohit. I'd like to wait until he gets more experience in IPL and T20I games before giving the role to him in ODIs. Rohit's a fine option for the next WC, as I've mentioned before he is the best option we have currently for the role and he isn't getting dropped from his best format anyway.