Kolkata-Varanasi-Khajuraho-Agra-Delhi 1 WEEK

Hi all,

I would need opinions from wiser if this is doable and foremost, enjoyable.

Would have basicly time form landing in Kolkata on Friday until next Saturday when having a flight back home from Delhi.

I do not need to see Delhi, so no need to book time for that, just get there by Sat evening.

So Friday starting at Kolkata
Sat doing some sightseeing, Sat evening trying to get a train from Kolkata to Varanasi, a night train.

Staying in Varanasi for Sunday and Monday, on Monday evening getting a night train towards Kahjuraho, hopefully being there by Tuesday evening, seeing the temples for Wednesday and Thursday and trying to catch something Thursday evening towards Agra (help?),

getting to Agra hopefully by friday night, seeing taj mahal and the fort on saturday, getting some mode of transport (is car expensive?) to delhi, arriving on sat night and getting flight from Delhi to Chennai on Sunday morning.

Would really appreciate cmments and tips!!