Not with the Types Plugin alone, unless you use Custom Code.
With the Paid Toolset (Views, Access and CRED mainly) you will be able to achieve most of those things.
I will not go into the how to as this would mean provide Technical Support for paid Software when it's not yet installed.
But I can give a "pre-sales" answer, and we also feature 30 days money back guarantee (no questions asked), in case you aren't satisfied.
People who want to find a job can upload their data and attach files
This is perfectly possible with CRED:
https://toolset.com/documentation/user-guides/creating-cred-forms/
customers will have access to some of the candidates' data, but to access the contact information they must pay a fee that will give them access for a period of time (days , months ...).
You can use Access and HTML conditional to hide or show things deepening on User Roles, and more:
https://toolset.com/documentation/user-guides/ > Access
https://toolset.com/documentation/user-guides/conditional-html-output-in-views/
You can also let the users subscribe by paying a fee:
https://toolset.com/documentation/user-guides/ > CRED Commerce
Hence, Toolset will help you greatly to display and control who can see what.
Eventual Custom Logic for your application will need some Custom Code (such as downgrade an user role on expiration of his paid ad).
With these Custom Logic applications we can help only limitedly, but you are always free to ask in the Paid Toolset Forum, where a Supporter will elaborate how you can achieve the goal. We do not provide Custom code, but do always suggest and even give examples.
In case you also need Custom Programming help, we also offer contact to teams of Contracts (external, we do not interfere here)
https://toolset.com/contractors/
