First of all, even under the old law (1972 revision of Article 9) listing the collateral as all assets was ineffective. This was because of case law and not statutes. However, in Revised Article 9 (the 1998 revision) it is statutorily wrong for a security agreement (9-108) but OK for a financing statement (9-504) if the debtor has signed something (other than a security agreement) to authorize such a filing. (9-509)
As for deposit accounts, you are wasting your time filing to perfect the security interest. Deposit accounts can only be perfected by control. (9-312) If you are the depository institution, once your security interest attaches it is perfected, you need do nothing else to perfect because you already have control. However, if you are not the depository institution, then you must have a control agreement signed by the owner of the account, the depository institution and the secured party. (9-104) You will probably find that no depository institution, in their right mind, will sign such an agreement.
Have your attorney attend one of my two-day CLE courses on Secured Transactions Law.