A few thoughts:
1) Invest in yourself; consider hiring models from sites such as Model Mayhem or other similar groups/resources. It will cost, but a handful of paid shoots and events with good models will work wonders - if you can get makeup as well that's even better. Remember the model isn't replacing your skill with the camera by looking good, they are showing what your photography does at its best.
2) Go free - free models or more typically trade for prints can be done through site like Model Mayhem - you'll get a fair few flakes who don't turn up, but do some research and get a few good models and you can do a good trade of skills with them and both parties can walk away with good photos to use in the various professions.
Again this is about giving you someone who knows how to stand and look at the camera so that you can show your best potential. It's going to cover your portraiture angles in your portfolio.
3a) Don't have a company name whilst getting your portfolio together - this is because you are likely doing free or low cost work at this stage and you don't want to market yourself as a company early on in that market sector because its basically unprofitable (free won't pay your rent). Keep the company name until you've a skill set and portfolio setup which can target the market group you want to market toward and let the company start out as you mean to be.
b) A word on fees - many people think they can start a company and charge cheap rates; then push them up when "they've got the experience/market." The problem is when you shift prices up significantly you lose your original market of customers; one or two might stick around, but most of them (and most of your referrals from them) will now find your prices too high and will seek photography elsewhere and you've got to build your whole market up again from scratch. So start out where you mean to be - you can always give discount or earlybird reductions on your stated fees early on to encourage customers, but keep the actual fees set where you want them.
4) Once you've got some solid portrait work you should be in a much stronger position to approach photographers to second shoot - or you could even consider interning/apprenticing under them. Learn the ropes of the company side of things and also gain experience without putting your business and name at risk. You might even find that working for a company and doing the photography is far better than running the company (where you've got to balance books and run a business not just shoot with a camera).
5) When rejected to second shoot always ask why - in a polite tone of course. You want info from them as to why; were you just in a sea of applicants and not lucky or were there clear problems in your personal presentation or your portfolio.