Thank you so much for posting, and thank you for sharing both pieces with us. Two different marks on two different pieces is a very good question, we will take them one at a time.
First one, SGP in a rounded triangle, with the S on top, then the G and P below.
That mark is THE PANIS GALLERY, Stavre and Gladys Panis, Arts and Crafts Silversmiths and Jewelers, Falmouth, MA, USA, from about 1932 to present. It is a makers mark, not a plating mark. So your first piece is an American Arts and Crafts piece from the Panis Gallery, which is a lovely find.
Second one, a diamond shape with a P, then a cat looking figure, then an H.
That cat looking figure is very likely a leopards head. That is the town mark for London. If you look closely, it is a leopards head facing forward, with ears and whiskers, it does look like a cat.
In a British hallmark, the order is usually maker, then town mark, then fineness, then date letter. So your P is the makers mark, the makers initial. The leopards head is London. The H is the date letter, the small letter that tells us the assay year. The H by itself does not tell us the year unless we also know the shape of the shield around it, and the style of the letter. If you can write down the shape of the shield around that H, round, square, or cut corner, and whether there is a number like 375, 585, or 925 anywhere near it, please write it down exactly as you see it and post it here, and we will help you pin the year.
Thank you again for sharing them, Dan. Two pieces, two different stories, both worth knowing about.