thank you. Somewhat curiously, there is no specific provision in the companies act 2006 to provide directors with a statutory right to information in respect of the company. It is possible that a director may have rights to such information within the company's articles but such provision would be unusual and I would not expect it to exist. However, section 388 of the companies act requires the company keeps accounting records for three years from the date they are made up and make such records available for inspection by company officers which of course includes directors. it is a criminal offence to fail to make such records available to company officers.
this is of course not the same thing as access directly to bank accounts but it does give you a right to access the company accounts for the above three year period.
As regards ***** ***** other information beyond company accounts, there is relatively limited law on the point. There is common law in the form of Dilato Holdings Pty Ltd v Learning Possibilities and others  where it was held that a director should have access to all documents of the company rather than just accounting records providing the reason for access to those documents was for a proper purpose and the performance of the directors duties.
Accordingly, to the extent you have a right to such information as above, and it is not been provided, you could seek a court order under part 8 to require disclosure of such information:
looking at the issue from a longer-term point of view, if you do not have a contract with the company in question is the performance of services, as I'm sure you have already considered yourself, I wonder whether there would be a purpose to consider whether you may be better off parting company with the current limited company and pursuing the business for a company you control in order to avoid such potential issues in the future.