The calls need to be cleaned up.

Is there a limit per day on them?

Arrange the calls known into a level grid: for balance purposes, is easier.

I'd clean up the abilities. Many of them can be turned into Calls.

Add a new category of calls: Tactical Calls. Toss the interesting abilities in there.

Basic weapon: stats as a normal weapon that the caller is proficient in.

Can be disarmed or sundered -- if so, the weapon goes away.

Can be called as a standard action. Should it have a duration?

Each weapon does additional damage based on type. Each weapon and armor comes enchanted. The shields come with DR at higher levels
Code:
   Weapon Armor Shield Damage Shield DR
1     -     -     -     +1    -
2    +1     -     -     +1    -
3    +1     -    +1     +2    -
4    +1    +1    +1     +2    -
5    +1    +1    +1     +3    1/magic
6    +2    +1    +1     +3    1/magic
7    +2    +1    +2     +4    1/magic
8    +2    +2    +2     +4    1/magic
9    +2    +2    +2     +5    2/magic
10   +3    +2    +2     +5    2/magic
11   +3    +2    +3     +6    2/magic
12   +3    +3    +3     +6    2/magic
13   +3    +3    +3     +7    4/magic and adamantine
14   +4    +3    +3     +7    4/magic and adamantine
15   +4    +3    +4     +8    4/magic and adamantine
16   +4    +4    +4     +8    4/magic and adamantine
17   +4    +4    +4     +9    5/-
18   +5    +4    +4     +9    5/-
19   +5    +4    +5     +10   5/-
20   +5    +5    +5     +10   5/-
(Note: I tried to eliminate dead levels).

The +damage refers to the extra elemental damage the weapon does.

The caller doesn't have to start with a full set of effective calls. Having the 1st level abilities be better and starting with fewer of them is more interesting.

A call power chart, based off of your numbers:
[code]
1 2 3 4 5
1 3
2 4
3 4
4 5
5 5 1
6 5 1
7 5 2
8 5 3
9 5 3
10 5 3 1
11 5 3 1
12 5 3 2
13 5 3 3
14 5 3 4
15 5 3 4 0
16 5 3 4 1
17 5 3 4 2
18 5 3 4 2
19 5 3 4 3
20 5 3 4 3 1
[code]

Note how it sort of goes wonkey. There isn't a steady progression of powers. You get 5 first, 3 2nd, 4 3rd?, 3 4th and 1 5th. What is worse is the level where you get access to 4th level calls you don't get another power, so ... it doesn't count.

I'd recommend a nice smooth progression of call powers. Ie:
[code]
1 2 3 4 5
1 1
2 2
3 3
4 4
5 4 1
6 4 2
7 4 3
8 4 4
9 4 4 1
10 4 4 2
11 4 4 3
12 4 4 4
13 4 4 4 1
14 4 4 4 2
15 4 4 4 3
16 4 4 4 4
17 4 4 4 4 1
18 4 4 4 4 2
19 4 4 4 4 3
20 4 4 4 4 4
[code]

This has the negative feature of not having a capstone level. A slight tweak:
[code]
1 2 3 4 5 6
1 2 - - - - -
2 3 - - - - -
3 4 - - - - -
4 4 1 - - - -
5 4 2 - - - -
6 4 3 - - - -
7 4 4 - - - -
8 4 4 1 - - -
9 4 4 2 - - -
10 4 4 3 - - -
11 4 4 4 - - -
12 4 4 4 1 - -
13 4 4 4 2 - -
14 4 4 4 3 - -
15 4 4 4 4 - -
16 4 4 4 4 1 -
17 4 4 4 4 2 -
18 4 4 4 4 3 -
19 4 4 4 4 4 -
20 4 4 4 4 4 1
[code]
which grants a single level 6 call at level 20.

But that's just me: this is your class. :)