Yes

Hotel Blue Pearl in Pahar Ganj area of New Delhi.

Hi, There are plenty of budget hotels near Akshardham Temple, but we will suggest staying in Treebo Trend Mona Grand or Joeys Hostel.

you can keep as many suitcases in the cloak room as necessary. no limit.

yes

so much scope

from chandni chowk metro station(near red fort), take the yellow line metro to Rajiv Chowk metro station. From there, change metro and go to Blue line metro towards Nodia Electronic city. Akshardham station is on the way. From Akshardham metro station, you can either walk to the temple(around 500 metres walk), or you can take auto/rickshaw that costs around 10 rupees per person in sharing, and 30 rupees if you book the auto.

no need. they provide the security

Yes you can. But try to avoid this.

I don't recall seeing any large lockers. I was advised to leave everything with my driver which I did. Even a small wallet with nothing but credit cards and ids was inspected closely.