You carry forward your capital loss from selling the property and can apply it against future capital gains. You cannot apply it against trading profits of the current or future years.
You are correct. A profit from trading is income and not a capital gain. Whether you held the shares for 12 months or not is irrelevant to traders as the 12 month rule that allows a 50% discount only applies to capital gains, not income from trading. Equally the CGT concession is irrelevant as your trading profits are not capital gains.