Hello and thank you for your question.
Unless court orders have been made in relation to the property settlement, if you are the only person on the property title, then once the mortgage is discharged, you should be legally entitled to the money and it is not apparent from what you are saying as to why the conveyancing solicitor is withholding the profit from you. The same applies to items like tools and the car (especially if it is registered in your name) which are reasonably identifiable as yours. I would strongly urge you to engage a family lawyer ASAP to pursue urgent recovery action and to review your family situation in more detail.
That said, whilst it would appear you are both now out of time to pursue property orders since you've been separated for two years, in practice the courts will often allow late applications of this sort, and if you or she ultimately pursue a property settlement under the family law, she may ultimately have some claim to some of these assets, but that will depend on a variety of factors which only a fully briefed lawyer can advise. All I can say is that under the Family Law Act, parties are normally entitled to a 'fair share' having regard to their contributions to the final asset pool (the asset pool being all assets held by each party, so noting you owned a home going into the relationship and she did not, that is a factor very much in your favour.
However, courts will make considerable adjustment in favour of the party to a realtionship who is going to have primary care responsibilities for any children of that relationship, but how much of an adjustment depends on many factors, not the least of which is how large the available asset pool is.
In relation to access to your children, the courts generally treat financial issues as separate considerations to custody issues, so even if she thinks you aren't paying enough child support or that you owe her money, that is not a satisfactory reason for her to be withholding custody, and her behaviour in this regard may well be frowned upon by the court. In terms of what custody/access you may be entitled to, the courts operate on a rebuttable presumption that it is in the interests of children that they maintain or develop strong relationships with both their parents and this presumption will only be rebutted where there are very serious issues such as drub abuse, violence, sexual abuse or similar which convince the court the children are better off away from the father. Such issues aside, courts will, subject to practical realities, such as work obligations and issues of distance where a parent lives far away, generally make orders allowing as much custody and access as is practical balanced against the similar competing claims of the other parent. In practice, especially with young children, practicalities will mean the main breadwinner ends up with less custody or access, than the parent who has most of the parental responsibilities, but often this just reflects the respective roles of the parties prior to separation. Before courts will generally intervene in custody disputes, the parties are required to attempt mediation which can be done through an organisation such as Relationships Australia:
Though if you have had significant custody and she suddenly has cut you off completely, it may be possible to seek an interim order from the Family Court so that you can reinstate the previous arrangements whilst a final decision is mediated and/or ultimately determined by the court.
I trust the above assists.
Good luck and please rate my answer.