Some more thoughts, and I will continue to edit this post.
1. A grosso should be near 2.0 g. If clipped, can be less. This tends to eliminate the coin at 2.7 g, but I think everything between 1.6-2.1 we can give a chance to be authentic.
2. A half grosso should be near 1.0 g, so we should check the smaller coin for the possibility to be a half grosso.
3. The grossi before 1350s have both figures on the obverse facing forward, which places all of your coins in this period if they are authentic
In the set of photos posted at 10:28, I have the first coin as possibly Pietro Granenigo as already mentioned. The second, I get something like .IZADVNR where the doge's name should be, and the weight is not correct. Unsure about this one
In the second set of photos posted at 10:35, I have the first coin as Lorenzo Tiepolo
https://www.acsearch.info/search.html?id=8419731 I think I can see L ----------PL. . The second coin I cannot identify
In the third set of photos posted at 10:37, I do not think the first coin is an authentic Venetian grosso. The figures are poorly executed, the doge's name is illegible. The second coin could be an authentic grosso of either Jacopo Tiepolo or Lorenzo Tiepolo, as we can see EVP in the doge's name . This is also true of the second coin in the 4th set of photos.