Hit-Girl (real name Mindy Macready) was raised by her father, Big Daddy, her mother being murdered by frustrated criminals. For an unnamed amount of time, Big Daddy has been training Hit-Girl to kill, allowing her to fight alongside him to avenge his wife's death by killing many criminals, ending with boss-man Johnny G. As a result of this, she has a high knowledge and interest of weapons. It is revealed in her diary that, because of their operation, Hit-Girl and her father move constantly, record time being six weeks.
Hit-Girl has been trained thoroughly by her father. She has been trained to take a bullet (with a bullet-proof-vest on, of course), fight hand-to-hand, fight with both blunt and bladed weapons, and she has been taught about guns, inventors of guns, and even action movies and action movie stars. This is presumed to exist only for her training purposes, because she has not yet been seen using guns. The nature of Hit-Girl's training has made her particularly brutal and remorseless in combat.
Although the advantage of costumes and nicknames are obvious, it appears that most of it is influenced heavily by her and her father's love of comics. It is even shown that the only reason Big Daddy agrees to join forces with Kick-Ass and The Red Mist is to entertain his daughter.
She wears an improvised superhero-style costume and wields a pair of katanas in combat. She carries a selection of small throwing blades. She is also very skillful in the use of a flamethrower. In the last two issues, she uses a pair of Glock 23 pistols to slaughter mobsters en masse.
Hit-Girl is a skilled and brutal fighter. Unlike most girls of her age she is very interested in weapons and can handle death well. She doesn't seem to be at all bothered by blood and guts. She also curses like a sailor and as previously mentioned likes Hello Kitty, comics and Clint Eastwood and John Woo movies.
http://www.comicvine.com/hit-girl/29-56881/Punisher is the recipient of multi-disciplinary military training from the U.S. Marine Corps. While a Marine, he also received training from the U.S. Army and Navy. From this training, Punisher is proficient in not only basic infantry skills, but in special operations, which includes the use and maintenance of specialized firearms and explosive ordnance. He is highly trained in infiltration into heavily-guarded enemy territories and structures for the purpose of assassination, captures, and military intelligence. Also, he is trained in various forms of camouflage and stealth.
From his airborne training, Punisher is able to pack and maintain his own parachute rigs, as well as professionally control his landings, in daylight and at night. From his Navy UDT training, Punisher is well-skilled in extended underwater operations, including demolitions. He is skilled with a great many types of explosives, ranging from simple dynamite to plastique to improvised explosives. His hand-to-hand combat skills are more then sufficient to allow him to incapacitate and kill men much stronger than he is, as well as to deal with groups of armed and unarmed enemies, killing them all without weapons if he deems it necessary. He is also extremely deadly in knife training, preferring the knife he learned to fight with in the USMC: the ka-bar. Additionally, he is a preternaturally-precise marksman. He is thoroughly trained and experienced in unconventional ("guerilla") warfare. He is an armorer, a gunsmith, and an expert in field medicine.
The Punisher's ever-changing arsenal of weaponry includes various automatic and semi-automatic rifles, and an array of handguns, fragmentation and tear gas grenades, other explosives, and combat knives. A personal favorite is his ballistic knife, which can launch its blade with lethal force. He commonly uses M16 .223 caliber automatic rifles, Sterling Mark 6 9mm, semi-automatic rifles, 9mm Browning Llama automatic pistols, .45 caliber automatic frame rechambered for 9mm. ammunition, .223 caliber Derringers, and Gerber Mark II combat knives.
The Punisher has a Kevlar uniform which protects him from most gunfire, though he can still suffer concussive injury or penetration from sufficient or repeated impacts.
http://marvel.com/universe/Punisher_%28Frank_Castle%29