56h renaming

[cf1709]

Greetings!

I was asked to make a 'rename' command using INT 21h/56h by doing the following:
1. Ask the user to enter the file he wants the name to be changed
2. Ask the name of the file that will be used as the new filename.
3. Return error codes depending on the situation.

With this code

;File fren
.model small
.code

org 100h

start:
jmp fren
prompt		db	"File to rename? $"
prompt2		db	"Rename as what? $"
rename_msg	db	"File renamed. $"
err_nf		db	"File not found. $"
err_ip		db	"Invalid path. $"
err_ad		db	"Access denied. $"
err_nsd		db	"Not same device. $"
characters  db  50 dup(0)
bytes_typed db  0
old		    db	30 dup,?, 30 DUP(' ')
new		    db	30 dup,?, 30 DUP(' ')

fren proc near
file1:
mov dx, offset prompt
mov ah, 9
int 21h
mov ah, 0ah
mov dx, offset old
int 21h
mov bh,0
mov bl, bytes_typed
add bx, offset characters
mov byte ptr[bx], 0
mov dx, offset characters
jmp file2

file2:
mov dx, offset prompt2
mov ah, 9
int 21h
mov ah, 0ah
mov dx, offset new
int 21h
mov bh,0
mov bl, bytes_typed
add bx, offset characters
mov byte ptr[bx], 0
mov dx, offset characters
jmp rename

rename:
mov ah,56h 
lea dx,old  
lea di,new  
int 21h
cmp ax, 02h
je errnotfound
cmp ax, 03h
je errinvpath
cmp ax, 05h
je erraccden
cmp ax, 11h
je errnotsame
jmp display

errnotfound: 
lea dx, err_nf
mov ah, 9
int 21h
jmp end

errinvpath: 
lea dx, err_ip
mov ah, 9
int 21h
jmp end

erraccden: 
lea dx, err_ad
mov ah, 9
int 21h
jmp end

errnotsame: 
lea dx, err_nsd
mov ah, 9
int 21h
jmp end

display:
lea dx, rename_msg 
mov ah,09h 
int 21h 
jmp end

end:
int 20h

fren endp 
end start

The program will ask me the file to rename and what its new name should be. However, it will always return an invalid path error.

I just based this rename program from a 'delete' program (which works):

.model small
.code

org 100h

start:
jmp rubout
the_buffer     db  50
bytes_typed    db  0
characters     db  50 dup(0)
prompt         db  "File to delete? $"
ok_msg         db  "baleeted, lulz $"
not_found_msg  db  "Not found. $"
deny_msg       db  "Access denied. Close file to delete first. $"

rubout proc near
mov dx, offset prompt
mov ah, 9
int 21h
mov ah, 0ah
mov dx, offset the_buffer
int 21h
mov bh,0
mov bl, bytes_typed
add bx, offset characters
mov byte ptr[bx], 0
mov dx, offset characters
mov ah, 41h
int 21h
jnc ok
cmp al, 2
je not_found
cmp al, 5
je deny

not_found:
mov dh, 10
mov dl, 0
mov bh, 0
mov ah, 2
int 10h   
mov dx, offset not_found_msg
mov ah, 9
int 21h
jmp exit

deny:
mov dh, 10
mov dl, 0
mov bh, 0
mov ah, 2
int 10h
mov dx, offset deny_msg
mov ah, 9
int 21h
jmp exit

ok:
mov dh, 10
mov dl, 0
mov bh, 0
mov ah, 2
int 10h
mov dx, offset ok_msg
mov ah, 9
int 21h
jmp exit

exit:
int 20h

rubout endp
end start

I hope someone could help. Many thanks.