Draeneipally has summed it up pretty well.
What spec is your husband as this changes the answer to your question, as he is still leveling I am assuming one of the DPS Specs, and from your question about stats I assume Elemental.
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Is this normal or are there other things he should be taking into consideration. His mana pool is right around 5k atm. Are there other stats he should be more concerned with than int/spi/mp5 that may make him more efficient?
5k mana is good at level 62, Shammy's have to work harder than other casters to buff out their mana pools, even then the trick is to work on your mana efficiency more than the base mana pool (to a degree).
There are 2 key talents to take.
Unrelenting Storm allows you to regenerate mana while casting, the amount regen'd is based on your intellect (up to 10% with 5 points) making Int doubly useful as it is also buffing out your base mana pool.
Elemental Focus reduces the mana cost of your next spell by 60% after you land a critical strike with a damage spell, this makes Spell Crit one of your more important stats.
At 62 I would recommend a build like
this with a stat focus on Int, Spell Crit, Spell Damage then Mp5 if you can get it.
From here it is really going to depend on his playstyle and interests, for PvE he'll want to put 2 points in Nature's Guidance (Resto) then 5 in LO (elemental) after that he can choose between ToW and capping out NG. A bit like
this.
If he wants to focus on Raiding ToW is compulsory so he may want to rearrange things a little to optimise, a bit like
this.
Alternatively if he want's to PvP he's goint to want to run deeper into Resto for NS and probably take Earth's Grasp in Elem for the increased range on Earthbind. Something like
this.
You could also drop Ancestral healing and Imp Reincarnation and fill out Imp Healing Wave in the first tier of Resto, I would also consider moving the 3 points in Elemental Precision to Elemental Shields.
Keep in mind that the changes to LO in 2.3 are going to dramatically effect PvP builds in particular.