I'm a rookie with these bayonets and you should wait for other more qualified people to opine (you should post them separately in the correct forum).
But I think the first bayonet is the US made 1913 pattern bayonet for the British in WWI. . The odd part is the scabbard with has the wire attachment for the US webbing. The British scabbard did not have these and instead had the frog stud. Its a mix matched pair IMHO
The second looks like a US pattern M1905 but again with what I think is a later US scabbard.
Here's a link that I've used in the past. It should help
USA - First World War Era Bayonets