As suggested in this answer, the maximum amount of attacks you can make as a level 5 Fighter is 5 attacks. However, this is only if you have your bonus action free to make the final attack. By summoning the extra weapon(s), you forfeit 1 attack there.
- Main Action to attack (shoot crossbow)
- Extra Attack triggers, after taking the attack action (throw handaxe)
- Bonus Action to Summon extra weapon(s)
- Action Surge to attack (hammer)
However, if we want to get technical, two-weapon fighting states that you use your Bonus Action to make a second attack with your other hand (PHB p. 195 emphasis mine):
When you take the Attack action and attack with a light melee weapon that you’re holding in one hand, you can use a bonus action to attack with a different light melee weapon that you’re holding in the other hand. You don’t add your ability modifier to the damage of the bonus attack, unless that modifier is negative. If either weapon has the thrown property, you can throw the weapon, instead of making a melee attack with it.
So this means, that in your specific example, you already give up your bonus action by attacking with your off-hand (axe or crossbow), therefore making you unable to summon the extra weapons.
And finally, just a last clarification (thanks to Medix2 for pointing it out); the Weapon bond feature does allow for you to bond with up to two weapons, but only one weapon can be summoned at a time (PHB p. 75, emphasis mine):
Once you have bonded a weapon to yourself, you can't be disarmed of that weapon unless you are incapacitated. If it is on the same plane of existence,
you can summon that weapon as a bonus action on your turn, causing it to teleport instantly to your hand. You can have up to two bonded weapons, but can summon only one at a time with your bonus action.
So, instead, you could use your bonus action to summon one weapon, then attack up to 4 times with it.
- Bonus Action (summon bonded weapon)
- Main Action (to attack with bonded weapon)
- Extra attack (with same weapon)
- Action Surge (to attack again with same weapon)
- Extra attack (with same weapon)
Ultimately it's less cinematic, unfortunately (shooting and throwing weapons, and then summoning your hammer and axe to charge in swinging), but this way you can still gain the most attacks.