Actually, no. The only things that the Hague Convention ban are expanding bullets, chemical and biological weapons, and the firing of projectiles or explosives from balloons and other aircraft for a period of five years starting in 1899.
Fragmenting bullets are perfectly alright, as are large caliber bullets.
Fragmenting bullets are perfectly alright, as are large caliber bullets.
Ok, will have to look up the details, but like the Geneva Convention, the Hague Convention has been updated and/or had several follow-up treaties that expanded on the regulations given there, some of them even added as late as after WW2 or even after Vietnam (there are e.g. regulations banning napalm, phosphor and any other chemical agent designed specifically to start fires - the reason, why the Bundeswehr doesn't have any flamethrowers or incendiary bombs in stock anymore). Many of those additional protocols and treaties were neither signed or ratified by the USA, they just gave a standing order (don't know if it's still in effect) to adher to those regulations when involved in multinational operations with the European NATO-members, who have ratified those regulations.
And actually IRC the Hague Convention actually is quite fuzzy about what is allowed and what isn'T as it calls for a ban of any weapon causing "excessive wounds", with stuff like expanding bullets etc. given only as examples, but not constituting a complete list.