This will require someone who can read the inscriptons on the coins, which is beyond my abilities. I searched Zeno for similar coins and here's what I found.
The square coin is a "heavy mohur" based on its weight. There are significant similarities to this heavy mohur of Akbarhttps://www.zeno.ru/showphoto.php?photo=155894
but it is not a match (some of the writing differs). In the lower right corner of the first photo there's a possible date of AH 1170 (other interpretations of the date are possible). If it is 1170 this date would lie during the reign of Alamgir II, but I didn't see any similar mohurs from his time in Krause or Zeno. If I had to guess I'd guess it is a heavy mohur of Akbar, but that potential attribution is neither detailed enough nor backed up by adequate documentation. The second photo of the square one is upside down and should be corrected to help with attribution.
For the round one here's a coin that matches reasonably on one side but not the other (however this could well be a standard inscription used on many coins). https://www.zeno.ru/showphoto.php?photo=40376
The pattern of the enclosure on both sides is called a mihrabi border, mimicing the shape of niches in mosques.
Hopefully someone who can actually read the coins will come along to help. I just try to read dates, search by weight and diameter, and match by appearance when possible, which sometimes works and sometimes doesn't.
If you don't get satisfactory attributions here my best advice is that you could try posting these on the World of Coins Mughal board, where there are more experts in Indian coins, several of whom can actually read them and I go to for help. http://www.worldofcoins.eu/forum/in...rd,62.0.html
These are wonderful coins and I wish you the best of luck.