First of all, I will not help too much with authentification, i dont have the knowledge to verify the originality or not of most of this pieces.
Although, as spanish collector i have the minimum knowledge to mess around the spanish catalogue here in Numista and try to identify them.
First coin wants to be a 1 Real, most probably form the Reyes Católicos Fernando and Isabel or in second case from Fernando and Juana. Most of the desing and weight wants to match that coin but in the shield side, your coin have 4 little dots (left side) that make me distrust it. Weight is near but do not match: 3.03g yours vs 3.43g numista. References:
https://en.numista.com/catalogue/pieces32164.html
https://en.numista.com/catalogue/pieces115127.html
Second coin its a beautifull 2 Reales from Felipe V, Madrid mint (shield side, M(adrid) under R(eal). Weight do not match: 5.29g yours vs 6.77g Numista. Reference:
https://en.numista.com/catalogue/pieces6841.html
Third one is 2 Reales from Carlos IV, Madrid mint (shield side, M(adrid) + I (I.Urquiza) and G (G.Lazaro) mint official´s). Weight do not match: 5.75g yours vs 6.77g Numista. Reference:
https://en.numista.com/catalogue/pieces14867.html
Fourth coin its a 2 Reales Columnarios from Carlos III, Mexico mint (+ around in shield side). Weight almost matches yours 6.51g vs 6.77g Numista. Reference:
https://en.numista.com/catalogue/pieces53708.html
Fifth and last coin its a 2 Reales from Carlos III, Peru mint (M.I. at the end of the legend shield side). Weight again almost matches: yours 6.35g vs 6.76g Numista.
https://en.numista.com/catalogue/pieces26018.html
In a time that weight was "the thing" that gave value to the currencies around world, i am afraid that thoose differences in the weight of your coins can lead to id them as fake/counterfaits ones
BUT AS I SAID AT THE START i dont have enough knowledge to say this 100% sure, i just want to point it out.
I tryed my best; If Zegeri see this topic, probably will have the answer to all your questions.