How does this itinerary sound to you? Also, help with Agra reccos.

Day 1: Reach Bharatpur - Check in - Lohagarh Fort - Evening Safari Day 2: Morning Safari (optional)- Check out from Bharatpur - Fatehpur Sikri - Back to Bharatpur to gather luggage - Leave for Mathura - Stay overnight (not sure if there is a way to go from Fatehpur Sikri to Mathura directly - help here!!) Day 3: Morning Check out from Mathura around 10 am - Reach Agra - Sightseeing - Stay Overnight Day 4: Agra Sightseeing - Leave in the evening \--- Hey folks, how does this itinerary sound to you for a solo trip? Also, please recommend good hostel, food recommendations, best time to visit monuments and basic things that I need to take care of. I have found Moustache, House of Travellers, Joey's Hostel and Hosteller as options - please suggest. If anyone will be in Agra or Bharatpur at that time, would love to catch up.