Your attempt looks possible but the code for 'A' is wrong - you've got 0xA0 (0b1010000) which is outside the standard ASCII character set so %DEITY% only knows what the display is doing with it. You need 0x41 (0b01000001) for 'A'. Try:
digitalWrite (DB0, HIGH);
digitalWrite (DB1, LOW);
digitalWrite (DB2, LOW);
digitalWrite (DB3, LOW);
digitalWrite (DB4, LOW);
digitalWrite (DB5, LOW);
digitalWrite (DB6, HIGH);
digitalWrite (DB7, LOW);
The EBAY ad lists the following control codes:
Hex ASCII Code Notes
--- ---------- -----
00 NULL
01 SOH
02 STX
03 ETX
04 EOT n Set display brightness level (DIM = 0x20, MED1 = 0x40, MED2 = 0x60, FULL = 0xFF).
05 ENQ
06 ACK
07 BEL Turn on blinking underline cursor.
08 BS Backspace and erase. Spans both lines.
09 HT Moves cursor one position right. Wraps to Line 01. Does not scroll at end of Line 01.
0A LF If on Line 00: moves cursor down one line, same column.
If on Line 01: scrolls line up, moves cursor to column one.
0B VT Turn on blinking characters. ---- |---- Use in pairs.
0C + FF Turn off blinking characters. ---
0D CR Moves cursor to start of line. Does not clear line.
0E + SO Turn off cursor.
0F SI Turn on solid underline cursor.
10 DLE
11 DC1 Turns on wrap around. When Line 01, Col 19 is reached, continue at Line 00, Col 00.
12 + DC2 Turns off wrap around. When Line 01, Col 19 is reached, characters overprint that position.
13 DC3 When Line 01, Col 19 is reached, scroll characters on Line 01 left. No effect on Line 00.
14 DC4 Clear screen. Home cursor. Turns cursor on. INITIALIZE SCREEN.
15 NAK Clear screen. Home cursor. Leaves cursor off if off.
16 SYN Home cursor. Does not clear screen.
17 ETB n Turns underlines on/off (underline on = 0x44, blinking underline on = 0x46, underline off = 0x45).
18 CAN
19 EOM Adds 80H to following character. Allows printing of high-bit characters if sending 7-bit data.
1A SUB
1B ESC n Moves cursor to position 0-39. Both lines contiguous.
1C FS
1D GS
1E RS Multi-byte command. Possible user defined characters.
1F US
They don't match the control codes in Reinhard's sketch. It sends 0x1F at startup then 0x16 before each screenful of characters. Reinhard thinks 0x16 is soft reset, your supplier thinks its Home Cursor without clearing the screen.
Maybe the model number in the EBAY ad is wrong, maybe Reinhard
made a typo and is actually using a different display, or maybe, as it has a MCU on board, its got custom firmware with different control codes. I strongly recommend contacting the EBAY seller for the Arduino library and instructions,